2000/05/26 by J. Heurich, H. Pu, Heurich, J. +5
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum Physics (quant-ph) #cond-mat #quant-ph
paper · pdf · doi:10.48550/arxiv.cond-mat/0005479
8 pages, 5 figures
arxiv created 2000/05/26 · arxiv updated 2009/11/30
The development of integrated, waveguide-based atom optical devices requires a thorough understanding of nonlinear matter-wave mixing processes in confined geometries. This paper analyzes the stability of counterpropagating two-component Bose-Einstein condensates in such a geometry. The steady state field equations of this system are solved analytically, predicting a multivalued relation between the input and output field intensities. The spatio-temporal linear stability of these solutions is investigated numerically, leading to the prediction of a self-oscillation threshold that can be expressed in terms of a matter-wave analog of the Fresnel number in optics.